(C) The critical temperature $(T_c)$ of a gas is given by the formula $T_c = \frac{8a}{27Rb}$.To find the gas with the highest $T_c$,we need to calcul

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(C) The critical temperature $(T_c)$ of a gas is given by the formula $T_c = \frac{8a}{27Rb}$.To find the gas with the highest $T_c$,we need to calculate the ratio $\frac{a}{b}$ for each gas:$Ar: \frac{1.3}{3.2} \approx 0.406$$Ne: \frac{0.2}{1.7} \approx 0.118$$Kr: \frac{5.1}{1.0} = 5.1$$Xe: \frac{4.1}{5.0} = 0.82$Since $Kr$ has the highest $\frac{a}{b}$ ratio,it will have the highest critical temperature.

Class 11 Chemistry States of Matter Real gases and Vander waal’s equation

Medium

Consider the van der Waals constants,$a$ and $b,$ for the following gases.

Gas $Ar$ $Ne$ $Kr$ $Xe$

$a \ (atm \ dm^6 \ mol^{-2})$ $1.3$ $0.2$ $5.1$ $4.1$

$b \ (10^{-2} \ dm^3 \ mol^{-1})$ $3.2$ $1.7$ $1.0$ $5.0$

Which gas is expected to have the highest critical temperature?

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A
$Ar$
B
$Xe$
C
$Kr$
D
$Ne$

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States of Matter

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Real gases and Vander waal’s equation

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Which of the following gas samples shows real gas behavior?

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Which of the following relations between the van der Waals constant $b$ and the radius of a spherical molecule $r$ is correct?

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For a gas,the deviation from ideal behavior is maximum at:

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At very low pressure,if the molar volume of $CO_2$ is constant,its compressibility factor is ..........

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The values of the van der Waals constant $a$ for gases $O_2, N_2, NH_3$,and $CH_4$ are $1.360, 1.390, 4.170$,and $2.253 \ L^2 \ atm \ mol^{-2}$ respectively. Which gas can be liquefied most easily?

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Gas	$Ar$	$Ne$	$Kr$	$Xe$
$a \ (atm \ dm^6 \ mol^{-2})$	$1.3$	$0.2$	$5.1$	$4.1$
$b \ (10^{-2} \ dm^3 \ mol^{-1})$	$3.2$	$1.7$	$1.0$	$5.0$

Consider the van der Waals constants,$a$ and $b,$ for the following gases. Gas $Ar$ $Ne$ $Kr$ $Xe$ $a \ (atm \ dm^6 \ mol^{-2})$ $1.3$ $0.2$ $5.1$ $4.1$ $b \ (10^{-2} \ dm^3 \ mol^{-1})$ $3.2$ $1.7$ $1.0$ $5.0$ Which gas is expected to have the highest critical temperature?

Similar Questions

Which of the following gas samples shows real gas behavior?

Which of the following relations between the van der Waals constant $b$ and the radius of a spherical molecule $r$ is correct?

For a gas,the deviation from ideal behavior is maximum at:

At very low pressure,if the molar volume of $CO_2$ is constant,its compressibility factor is ..........

The values of the van der Waals constant $a$ for gases $O_2, N_2, NH_3$,and $CH_4$ are $1.360, 1.390, 4.170$,and $2.253 \ L^2 \ atm \ mol^{-2}$ respectively. Which gas can be liquefied most easily?

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Consider the van der Waals constants,$a$ and $b,$ for the following gases.

Gas $Ar$ $Ne$ $Kr$ $Xe$

$a \ (atm \ dm^6 \ mol^{-2})$ $1.3$ $0.2$ $5.1$ $4.1$

$b \ (10^{-2} \ dm^3 \ mol^{-1})$ $3.2$ $1.7$ $1.0$ $5.0$

Which gas is expected to have the highest critical temperature?